Elliptic curve isogeny class with LMFDB label 25350.b (Cremona label 25350j)

• Label: 25350.b
• Number of curves: $1$
• Conductor: $25350$
• CM: no
• Rank: $1$

Rank

The elliptic curve 25350.b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 25350.b do not have complex multiplication.

Modular form 25350.2.a.b

Elliptic curves in class 25350.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25350.b1	25350j1	\([1, 1, 0, -123750, -16807500]\)	\(-79370312059129/12960\)	\(-34222500000\)	\([]\)	\(161280\)	\(1.4228\)	\(\Gamma_0(N)\)-optimal